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Technical report: analysis of SIR measles model using Euler's method / Nur Aimi Abdul Aziz, Nurul Amirah Yusof and Nor Farahiyah Rosly

SIR model which is in the form of system of ordinary differential equations (ODE) is the best mathematical model in representing the epidemic measles outbreak in a population. The trends of measles spread differs as surrounding differs that will lead to variation of parameters used in the equations...

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Main Authors: Abdul Aziz, Nur Aimi, Yusof, Nurul Amirah, Rosly, Nor Farahiyah
Format: Student Project
Language:English
Published: 2016
Subjects:
Study and teaching
Equations
Analysis
Online Access:https://ir.uitm.edu.my/id/eprint/109704/1/109704.pdf
https://ir.uitm.edu.my/id/eprint/109704/
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spelling my.uitm.ir.1097042025-02-11T08:40:59Z https://ir.uitm.edu.my/id/eprint/109704/ Technical report: analysis of SIR measles model using Euler's method / Nur Aimi Abdul Aziz, Nurul Amirah Yusof and Nor Farahiyah Rosly Abdul Aziz, Nur Aimi Yusof, Nurul Amirah Rosly, Nor Farahiyah Study and teaching Equations Analysis SIR model which is in the form of system of ordinary differential equations (ODE) is the best mathematical model in representing the epidemic measles outbreak in a population. The trends of measles spread differs as surrounding differs that will lead to variation of parameters used in the equations hence affect the accuracy of solutions of the SIR differential equations. It is identified that the parameters involved in the SIR model are rate of measles transmission and rate of measles recovery. The main objective of this project is to identify the most accurate SIR model based on various sets of parameters proposed by previous researchers. Euler's numeri­cal method is applied in solving the system of differential equations SIR model and from the calculated solutions, identification of the best parameter of rate of transmission, a and rate of recovery, b that are used in simulating the measles outbreak is made. 2016 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/109704/1/109704.pdf Technical report: analysis of SIR measles model using Euler's method / Nur Aimi Abdul Aziz, Nurul Amirah Yusof and Nor Farahiyah Rosly. (2016) [Student Project] <http://terminalib.uitm.edu.my/109704.pdf> (Unpublished)
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Study and teaching
Equations
Analysis
spellingShingle Study and teaching
Equations
Analysis
Abdul Aziz, Nur Aimi
Yusof, Nurul Amirah
Rosly, Nor Farahiyah
Technical report: analysis of SIR measles model using Euler's method / Nur Aimi Abdul Aziz, Nurul Amirah Yusof and Nor Farahiyah Rosly
description SIR model which is in the form of system of ordinary differential equations (ODE) is the best mathematical model in representing the epidemic measles outbreak in a population. The trends of measles spread differs as surrounding differs that will lead to variation of parameters used in the equations hence affect the accuracy of solutions of the SIR differential equations. It is identified that the parameters involved in the SIR model are rate of measles transmission and rate of measles recovery. The main objective of this project is to identify the most accurate SIR model based on various sets of parameters proposed by previous researchers. Euler's numeri­cal method is applied in solving the system of differential equations SIR model and from the calculated solutions, identification of the best parameter of rate of transmission, a and rate of recovery, b that are used in simulating the measles outbreak is made.
format Student Project
author Abdul Aziz, Nur Aimi
Yusof, Nurul Amirah
Rosly, Nor Farahiyah
author_facet Abdul Aziz, Nur Aimi
Yusof, Nurul Amirah
Rosly, Nor Farahiyah
author_sort Abdul Aziz, Nur Aimi
title Technical report: analysis of SIR measles model using Euler's method / Nur Aimi Abdul Aziz, Nurul Amirah Yusof and Nor Farahiyah Rosly
title_short Technical report: analysis of SIR measles model using Euler's method / Nur Aimi Abdul Aziz, Nurul Amirah Yusof and Nor Farahiyah Rosly
title_full Technical report: analysis of SIR measles model using Euler's method / Nur Aimi Abdul Aziz, Nurul Amirah Yusof and Nor Farahiyah Rosly
title_fullStr Technical report: analysis of SIR measles model using Euler's method / Nur Aimi Abdul Aziz, Nurul Amirah Yusof and Nor Farahiyah Rosly
title_full_unstemmed Technical report: analysis of SIR measles model using Euler's method / Nur Aimi Abdul Aziz, Nurul Amirah Yusof and Nor Farahiyah Rosly
title_sort technical report: analysis of sir measles model using euler's method / nur aimi abdul aziz, nurul amirah yusof and nor farahiyah rosly
publishDate 2016
url https://ir.uitm.edu.my/id/eprint/109704/1/109704.pdf
https://ir.uitm.edu.my/id/eprint/109704/
_version_ 1825165122068283392
score 13.239859

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